1. **State the problem:** We have 4.5 cups of trail mix with ingredients given as percentages and fractions: - Peanuts: 25% - Raisins: $\frac{1}{3}$ - Almonds: $\frac{2}{9}$ - Chocolate chips: the rest We need to find the actual cup amounts of raisins, almonds, and chocolate chips and determine which statement is true. 2. **Convert percentages and fractions to decimal or fraction of total cups:** - Peanuts: 25% = $\frac{25}{100} = \frac{1}{4}$ - Raisins: $\frac{1}{3}$ - Almonds: $\frac{2}{9}$ 3. **Calculate cups for each ingredient:** - Peanuts: $4.5 \times \frac{1}{4} = \frac{4.5}{4} = 1.125$ cups - Raisins: $4.5 \times \frac{1}{3} = \frac{4.5}{3} = 1.5$ cups - Almonds: $4.5 \times \frac{2}{9} = 4.5 \times \frac{2}{9} = \frac{4.5 \times 2}{9} = \frac{9}{9} = 1$ cup 4. **Calculate chocolate chips amount:** Total cups = 4.5 Sum of peanuts, raisins, almonds = $1.125 + 1.5 + 1 = 3.625$ Chocolate chips = $4.5 - 3.625 = 0.875$ cups 5. **Check the statements:** ① Raisins = 1.5 cups (correct), Almonds = 0.5 cups (incorrect, almonds = 1 cup) ② Raisins = 1.5 cups (correct), Almonds = 1 cup (correct) ③ Almonds = 1 cup (correct), Chocolate chips = 0.875 cups (not 2/3 cup = 0.666... cups) ④ Almonds = 0.5 cups (incorrect), Chocolate chips = 1 cup (incorrect) **Answer:** Statement ② is true.